Search a number
-
+
200212120222200 = 233252170851651029
BaseRepresentation
bin101101100001011110000100…
…010011100011100111111000
3222020220002110220020211021100
4231201132010103203213320
5202220233410234102300
61545452102302011400
760112563660413352
oct5541360423434770
9866802426224240
10200212120222200
1158880535389909
121a556549b76b60
138793bca616968
14376246569a0d2
151822e9b5d0700
hexb617844e39f8

200212120222200 has 144 divisors (see below), whose sum is σ = 672384005350200. Its totient is φ = 53389504224000.

The previous prime is 200212120222193. The next prime is 200212120222259. The reversal of 200212120222200 is 2222021212002.

200212120222200 is a `hidden beast` number, since 20 + 0 + 212 + 12 + 0 + 222 + 200 = 666.

200212120222200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307206286 + ... + 307857314.

Almost surely, 2200212120222200 is an apocalyptic number.

200212120222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212120222200 is an abundant number, since it is smaller than the sum of its proper divisors (472171885128000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200212120222200 is a wasteful number, since it uses less digits than its factorization.

200212120222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821902 (or 821890 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200212120222200 its reverse (2222021212002), we get a palindrome (202434141434202).

The spelling of 200212120222200 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 170851 341702 512553 651029 683404 854255 1025106 1302058 1366808 1537659 1708510 1953087 2050212 2562765 2604116 3075318 3255145 3417020 3906174 4100424 4271275 5125530 5208232 5859261 6150636 6510290 6834040 7688295 7812348 8542550 9765435 10251060 11718522 12301272 12813825 13020580 15376590 15624696 16275725 17085100 19530870 20502120 23437044 25627650 26041160 29296305 30753180 32551450 34170200 38441475 39061740 46874088 48827175 51255300 58592610 61506360 65102900 76882950 78123480 97654350 102510600 117185220 130205800 146481525 153765900 195308700 234370440 292963050 307531800 390617400 585926100 1171852200 111228955679 222457911358 333686867037 444915822716 556144778395 667373734074 889831645432 1001060601111 1112289556790 1334747468148 1668434335185 2002121202222 2224579113580 2669494936296 2780723891975 3336868670370 4004242404444 4449158227160 5005303005555 5561447783950 6673737340740 8008484808888 8342171675925 10010606011110 11122895567900 13347474681480 16684343351850 20021212022220 22245791135800 25026515027775 33368686703700 40042424044440 50053030055550 66737373407400 100106060111100 200212120222200